I think there are 2 classes of people to consider. Those who need to collect SS at 62 to live on, and those who merely want to. The first group wouldn't do this because they really can't.
For the latter group, the main reason to take it at 62 is: 1) the break-even period for collecting 4 years early, and 2) they want to make sure that they collect something if case they die before 65. They when they hit 65 or 70, they can reconsider based on their current health situation. At that point, they need to ask themselves if they now want an annuity. If not, do nothing--keep collecting the reduced amount. If yes, then it's cheaper to buy the annuity from SS than from an insurance company.